Quantum Spin Supersolid as a precursory Dirac Spin Liquid in a Triangular Lattice Antiferromagnet

Abstract

Based on the recent experiments on the triangular lattice antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$, we propose the easy-axis XXZ spin-1/2 model on the triangular lattice, that exhibits a quantum spin supersolid, to be a precursory Dirac spin liquid. Despite the presence of a three-sublattice magnetic order as a spin supersolid, we suggest that this system is close to a Dirac spin liquid by exploring its spectroscopic response. The physical consequence is examined from the spectroscopic response, and we establish the continuous spectra near the M point in addition to the K point excitation from the spinon continuum on top of the three-sublattice order. Moreover, the satellite peaks were predicted at the mid-points connecting the $\Gamma$ and K points. This proposal offers a plausible understanding of the recent inelastic neutron scattering measurement in Na${}_2$BaCo(PO${}_4$)${}_2$ and could inspire further research in relevant models and materials, such as K${}_2$Co(SeO${}_3$)${}_2$ and Rb${}_2$Co(SeO${}_3$)${}_2$, and even more anisotropic magnets like PrMgAl${}_{11}$O${}_{19}$.

13 pages, 9 figures. To appear in Phys Rev Research

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Cited by in corpus (15)

• Continuum excitations in a spin-supersolid on a triangular lattice
• Double Magnon-Roton Excitations in the Triangular-Lattice Spin Supersolid
• Continuum of spin excitations in an ordered magnet
• Wannier states and spin supersolid physics in the triangular antiferromagnet K${}_2$Co(SeO${}_3$)${}_2$
• Emergent Berezinskii-Kosterlitz-Thouless and Kugel-Khomskii physics in the triangular lattice bilayer colbaltate
• Spin Seebeck Effect of Triangular-lattice Spin Supersolid
• Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
• Field tunable BKT and quantum phase transitions in spin-1/2 triangular lattice antiferromagnet
• Slow convergence of spin-wave expansion and magnon dispersion in the 1/3 plateau of the triangular XXZ antiferromagnet
• Spin structures and phase diagrams of the spin-$\frac{5}{2}$ triangular-lattice antiferromagnet Na${}_2$BaMn(PO${}_4$)${}_2$ under magnetic field
• Emergent Spin Supersolids in Frustrated Quantum Materials
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
• Non-linear spin wave theory in the strong easy-axis limit of the triangular XXZ model
• Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model